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Brittle Tectonics: A Nonlinear Dynamic System

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Definition of the Subject

Brittle deformation is the primary mode of deformation of the Earth’s crust. At the long timescale it is manifested by faulting and on the short timescale by earthquakes. It is one of the best-known examples of a system exhibiting self-organized criticality. A full understanding of this system is essential to the evaluation of earthquake hazard.

Introduction

The upper part of the Earth’s crust is brittle and under a state of all-round compression. It responds to deformation by faulting: the formation and propagation of shear cracks. The crack walls support normal stresses, and hence fault propagation must overcome not only the rupture resistance of the fault tips but friction between its interior interfaces. This friction is usually velocity weakening, such that any slippage results in stick–slip instability. The resulting dynamically running crack-like shear instability radiates elastic waves, producing the shaking known as an earthquake. Thus brittle...

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Abbreviations

Ductile shear zone:

A quasi-planar tabular zone of localized shear deformation in the semi-brittle to fully plastic regimes.

Earthquake:

Dynamically running shear instability on a fault.

Fault:

A shear crack with friction between its interfaces.

Mylonite:

A metamorphic rock with a fabric produced by shear deformation.

Suprafault:

The shear relaxation structure that includes a fault and its associated ductile shear zone.

Bibliography

Primary Literature

  • Ackermann RV, Schlische RW, Withjack MO (2001) The geometric and statistical evolution of normal fault systems: an experimental study of the effects of mechanical layer thickness on scaling laws. J Struct Geol 23:1803–1819

    Article  ADS  Google Scholar 

  • Bak P, Tang C (1989) Earthquakes as a self-organized critical phenomenon. J Geophys Res 94:15635–15637

    Article  ADS  Google Scholar 

  • Bak P, Tang C, Weisenfeld K (1987) Self-organized criticality: An explanation of 1/f noise. Phys Rev Lett 59:381–384

    Article  ADS  Google Scholar 

  • Beeler NM, Hickman SH, Wong TF (2001) Earthquake stress drop and laboratory-inferred interseismic strength recovery. J Geophys Res-Solid Earth 106:30701–30713

    Article  Google Scholar 

  • Brown SR, Scholz CH, Rundle JB (1991) A simplified spring-block model of earthquakes. Geophys Res Lett 18:215–218

    Article  ADS  Google Scholar 

  • Burridge R, Knopoff L (1967) Model and theoretical seismicity. Bull Seism Soc Am 57:341–362

    Google Scholar 

  • Carlson JM, Langer JS (1989) Properties of earthquakes generated by fault dynamics. Phys Rev Lett 62:2632–2635

    Article  ADS  Google Scholar 

  • Christensen K, Olami Z (1992) Variation of the Gutenberg-Richter B values and nontrivial temporal correlations in a spring-block model for earthquakes. J Geophys Res-Solid Earth 97:8729–8735

    Article  Google Scholar 

  • Cowie PA, Scholz CH, Edwards M, Malinverno A (1993) Fault strain and seismic coupling on midocean ridges. J Geophys Res-Solid Earth 98:17911–17920

    Article  Google Scholar 

  • Cowie PA, Sornette D, Vanneste C (1995) Multifractal scaling properties of a growing fault population. Geophys J Int 122:457–469

    Article  ADS  Google Scholar 

  • Davison F, Scholz C (1985) Frequency-moment distribution of earthquakes in the Aleutian Arc: a test of the characteristic earthquake model. Bull Seismol Soc Am 75:1349–1362

    Google Scholar 

  • Davy P, Sornette A, Sornette D (1990) Some consequences of a proposed fractal nature of continental faulting. Nature 348:56–58

    Article  ADS  Google Scholar 

  • Dawers NH, Anders MH, Scholz CH (1993) Growth of normal faults – displacement-length scaling. Geology 21:1107–1110

    Article  ADS  Google Scholar 

  • Gupta A, Scholz CH (2000) Brittle strain regime transition in the afar depression: implications for fault growth and seafloor spreading. Geology 28:1087–1090

    Article  ADS  Google Scholar 

  • Hanks TC (1977) Earthquake stress drops, ambient tectonic stresses and stresses that drive plate motions. Pure Appl Geophys 115:441–458

    Article  ADS  Google Scholar 

  • Jensen HJ (1998) Self-organized criticality: emergent complex behavior in physical and biological systems. Cambridge University Press, Cambridge

    Book  MATH  Google Scholar 

  • Olami Z, Feder HJS, Christensen K (1992) Self-organized criticality in a continuous, nonconservative cellular automaton modeling earthquakes. Phys Rev Lett 68:1244–1247

    Article  ADS  Google Scholar 

  • Pacheco JF, Sykes LR (1992) Seismic moment catalog of large shallow earthquakes, 1900 to 1989. Bull Seismol Soc Am 82:1306–1349

    Google Scholar 

  • Pacheco JF, Scholz CH, Sykes LR (1992) Changes in frequency-size relationship from small to large earthquakes. Nature 355:71–73

    Article  ADS  Google Scholar 

  • Schlische RW, Young SS, Ackermann RV, Gupta A (1996) Geometry and scaling relations of a population of very small rift-related normal faults. Geology 24:683–686

    Article  ADS  Google Scholar 

  • Scholz CH (1968) The frequency-magnitude relation of microfracturing in rock and its relation to earthquakes. Bull Seismol Soc Am 58:399–415

    Google Scholar 

  • Scholz CH (1994) A reappraisal of large earthquake scaling. Bull Seismol Soc Am 84:215–218

    Google Scholar 

  • Scholz CH (1997a) Earthquake and fault populations and the calculation of brittle strain. Geowissenschaften 3–4:124–130

    Google Scholar 

  • Scholz CH (1997b) Size distributions for large and small earthquakes. Bull Seismol Soc Am 87:1074–1077

    Google Scholar 

  • Scholz CH (1998a) Earthquakes and friction laws. Nature 391:37–42

    Article  ADS  Google Scholar 

  • Scholz CH (1998b) A further note on earthquake size distributions. Bull Seismol Soc Am 88:1325–1326

    Google Scholar 

  • Scholz CH (2002) The mechanics of earthquakes and faulting, 2nd edn. Cambridge University Press, Cambridge

    Book  Google Scholar 

  • Scholz CH, Lawler TM (2004) Slip tapers at the tips of faults and earthquake ruptures. Geophys Res Lett 31, L21609. doi:10.1029/2004GL021030

    Article  ADS  Google Scholar 

  • Scholz CH, Dawers NH, Yu JZ, Anders MH (1993) Fault growth and fault scaling laws – preliminary-results. J Geophys Res-Solid Earth 98:21951–21961

    Article  Google Scholar 

  • Shaw BE, Scholz CH (2001) Slip-length scaling in large earthquakes: observations and theory and implications for earthquake physics. Geophys Res Lett 28:2995–2998

    Article  ADS  Google Scholar 

  • Shaw BE, Wesnouski SG (2008) Slip-length scaling in large earthquakes: the role of deep penetrating slip below the seismogenic layer. Bull Seismol Soc Am 98:1633–1641

    Article  Google Scholar 

  • Sornette D, Virieux J (1992) Linking short-timescale deformation to long-timescale tectonics. Nature 357:401–403

    Article  ADS  Google Scholar 

  • Spyropoulos C, Griffith WJ, Scholz CH, Shaw BE (1999) Experimental evidence for different strain regimes of crack populations in a clay model. Geophys Res Lett 26:1081–1084

    Article  ADS  Google Scholar 

  • Spyropoulos C, Scholz CH, Shaw BE (2002) Transition regimes for growing crack populations. Phys Rev E 65:056105. doi:10.1103/PhysRevE.65.056105

    Article  ADS  Google Scholar 

  • Stein RS (1999) The role of stress transfer in earthquake occurrence. Nature 402:605–609

    Article  ADS  Google Scholar 

  • Townend J, Zoback MD (2000) How faulting keeps the crust strong. Geology 28:399–402

    Article  ADS  Google Scholar 

  • Tse S, Rice J (1986) Crustal earthquake instability in relation to the depth variation of frictional slip properties. J Geophys Res 91:9452–9472

    Article  ADS  Google Scholar 

  • Turcotte DL (1999) Seismicity and self-organized criticality. Phys Earth Planet Inter 111:275–293

    Article  ADS  Google Scholar 

Books and Reviews

  • Sornette D (2003) Critical phenomena in natural systems: Chaos, fractals, self-organization, and disorder. Springer, Berlin

    Google Scholar 

  • Turcotte DL (1997) Fractals and chaos in geology and geophysics. Cambridge University Press, Cambridge/New York

    Book  Google Scholar 

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Correspondence to Christopher H. Scholz .

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Scholz, C.H. (2014). Brittle Tectonics: A Nonlinear Dynamic System. In: Meyers, R. (eds) Encyclopedia of Complexity and Systems Science. Springer, New York, NY. https://doi.org/10.1007/978-3-642-27737-5_44-2

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  • DOI: https://doi.org/10.1007/978-3-642-27737-5_44-2

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  • Online ISBN: 978-3-642-27737-5

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